On Gauss factorials and their connection to the cyclotomic \(\lambda \)-invariants of imaginary quadratic fields

DOI10.1016/j.jnt.2022.11.018OpenAlexW4313367761MaRDI QIDQ2681251

Matt Stokes

Publication date: 7 February 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.07804

zbMATH Keywords

imaginary quadratic fieldsGross-Koblitz formulaIwasawa \(\lambda \)-invariantGauss factorials

Mathematics Subject Classification ID

Quadratic extensions (11R11) Iwasawa theory (11R23) Cyclotomic extensions (11R18)

Related Items (1)

On CM elliptic curves and the cyclotomic \(\lambda \)-invariants of imaginary quadratic fields

Uses Software

• OEIS

Cites Work

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• A note on basic Iwasawa \(\lambda\)-invariants of imaginary quadratic fields
• The multiplicative orders of certain Gauss factorials. II.
• The nontriviality of certain Z\(_l\)-extensions
• Uniform effective estimates for \(|L (1, \chi)|\)
• Approximate formulas for some functions of prime numbers
• Computation of Iwasawa lambda invariants for imaginary quadratic fields
• On congruences involving Bernoulli numbers and the quotients of Fermat and Wilson
• Corrigendum to \lq\lq Conditional bounds for the least quadratic non-residue and related problems\rq\rq
• THE MULTIPLICATIVE ORDERS OF CERTAIN GAUSS FACTORIALS
• On Small Iwasawa Invariants and Imaginary Quadratic Fields
• On the non-triviality of the basic Iwasawa λ-invariant for an infinitude of imaginary quadratic fields
• Modeling λ‐invariants by p‐adic random matrices
• On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1

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